For the first time, the Parks Department has awarded permits allowing a Queens-based company to peddle its line on city property.

And not just any cupcakes or any city property.

Cake & Shake is paying $108,000 in the first year of a five-year contract for rights to the north side of the steps outside the Metropolitan Museum of Art, one of the most coveted food-vending spots in the United States.

As for the cupcakes, they’ll be of the gourmet variety, organic and developed by a chef who used to work at the Bouley Bakery in lower Manhattan.

At $3 each, winning bidder Gina Ojile said she’s confident she and chef partner Derek Hunt can turn a profit after paying the hefty first-year fee, which escalates 10 percent each year.

The Met sidewalk had been a goldmine for the Parks Department until last year, when military veterans staked out spots to peddle hot dogs to the hordes of tourists, citing rules that allowed them to compete with the authorized vendor, Pasang Sherpa.

In a matter of months, he went under. So did the $642,701 that Sherpa had bid for the right to station two carts at prime locations in front of the Met.